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20132202401000 = 235333759739473
BaseRepresentation
bin1001001001111011001001…
…10001011100110011101000
32122021121201210121022110222
410210331210301130303220
510114321222303313000
6110452334530225212
74145334512625254
oct444754461346350
978247653538428
1020132202401000
116462023456688
122311909a25208
13b305c654aa11
144d859202b264
1524da4123ca85
hex124f64c5cce8

20132202401000 has 64 divisors (see below), whose sum is σ = 47249144776080. Its totient is φ = 8028985036800.

The previous prime is 20132202400979. The next prime is 20132202401021. The reversal of 20132202401000 is 10420223102.

It is an interprime number because it is at equal distance from previous prime (20132202400979) and next prime (20132202401021).

It can be written as a sum of positive squares in 8 ways, for example, as 1459104548356 + 18673097852644 = 1207934^2 + 4321238^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20132202401000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29532737 + ... + 30206736.

Almost surely, 220132202401000 is an apocalyptic number.

20132202401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132202401000 is an abundant number, since it is smaller than the sum of its proper divisors (27116942375080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20132202401000 is a wasteful number, since it uses less digits than its factorization.

20132202401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59739831 (or 59739817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20132202401000 its reverse (10420223102), we get a palindrome (20142622624102).

The spelling of 20132202401000 in words is "twenty trillion, one hundred thirty-two billion, two hundred two million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 337 500 674 1000 1348 1685 2696 3370 6740 8425 13480 16850 33700 42125 67400 84250 168500 337000 59739473 119478946 238957892 298697365 477915784 597394730 1194789460 1493486825 2389578920 2986973650 5973947300 7467434125 11947894600 14934868250 20132202401 29869736500 40264404802 59739473000 80528809604 100661012005 161057619208 201322024010 402644048020 503305060025 805288096040 1006610120050 2013220240100 2516525300125 4026440480200 5033050600250 10066101200500 20132202401000